The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2 12  1  2  0  1  2 12  2  1  1  2  1  1  2  2  8  4  2  2  8  4  1  1  1  1  1  1  1  1  1  1  4
 0  2 12  6  0  6 12 10  8 14  4 10  8 14  4  2  6  2 10  2  0  6  2 12 10  2  0  8 12 12  6 14 14  2  2  2 14  2  2  2 10 10  0  8  4  4  6 14  2  2 12
 0  0  8  8  8  0  0  8  8  8  0  0  0  0  8  8  0  8  8  0  0  8  0  8  0  8  8  8  0  8  0  8  8  0  8  0  0  8  0  8  0  8  8  0  8  0  8  0  8  0  8

generates a code of length 51 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+92x^50+64x^51+92x^52+4x^54+3x^64

The gray image is a code over GF(2) with n=408, k=8 and d=200.
This code was found by Heurico 1.16 in 0.111 seconds.